We appreciate your visit to For the exponential function tex f x 3 cdot 25 x tex what is the value of tex f left frac 1 2 right tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the value of the function [tex]\( f(x) = 3 \cdot 25^x \)[/tex] at [tex]\( x = \frac{1}{2} \)[/tex], we'll substitute [tex]\(\frac{1}{2}\)[/tex] into the function and simplify.
Here's the step-by-step solution:
1. Start with the function:
[tex]\[
f(x) = 3 \cdot 25^x
\][/tex]
2. Substitute [tex]\( x = \frac{1}{2} \)[/tex] into the function:
[tex]\[
f\left(\frac{1}{2}\right) = 3 \cdot 25^{\frac{1}{2}}
\][/tex]
3. Note that raising a number to the power of [tex]\(\frac{1}{2}\)[/tex] is equivalent to taking the square root of that number. Therefore, [tex]\( 25^{\frac{1}{2}} = \sqrt{25} \)[/tex].
4. Calculate the square root of 25:
[tex]\[
\sqrt{25} = 5
\][/tex]
5. Substitute back to find the function value:
[tex]\[
f\left(\frac{1}{2}\right) = 3 \cdot 5
\][/tex]
6. Multiply 3 by 5:
[tex]\[
f\left(\frac{1}{2}\right) = 15
\][/tex]
So, the value of [tex]\( f\left(\frac{1}{2}\right) \)[/tex] is 15.
Here's the step-by-step solution:
1. Start with the function:
[tex]\[
f(x) = 3 \cdot 25^x
\][/tex]
2. Substitute [tex]\( x = \frac{1}{2} \)[/tex] into the function:
[tex]\[
f\left(\frac{1}{2}\right) = 3 \cdot 25^{\frac{1}{2}}
\][/tex]
3. Note that raising a number to the power of [tex]\(\frac{1}{2}\)[/tex] is equivalent to taking the square root of that number. Therefore, [tex]\( 25^{\frac{1}{2}} = \sqrt{25} \)[/tex].
4. Calculate the square root of 25:
[tex]\[
\sqrt{25} = 5
\][/tex]
5. Substitute back to find the function value:
[tex]\[
f\left(\frac{1}{2}\right) = 3 \cdot 5
\][/tex]
6. Multiply 3 by 5:
[tex]\[
f\left(\frac{1}{2}\right) = 15
\][/tex]
So, the value of [tex]\( f\left(\frac{1}{2}\right) \)[/tex] is 15.
Thanks for taking the time to read For the exponential function tex f x 3 cdot 25 x tex what is the value of tex f left frac 1 2 right tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
